[Turkmath:7068] İstanbul Üniversitesi Matematik Bölüm Semineri

[RÜYA ÜSTER]

Merhabalar,

İstanbul Üniversitesi Matematik Bölümü genel seminerinde 19.03.2025
tarihinde saat 14.00 da gerçekleşecek olan konuşmanın detayları aşağıdaki
gibidir.

İlgilenen herkesi bekleriz.

Rüya ÜSTER GÜNDÜZ


*Konuşmacı/Speaker: ,*Tuğba Mahmutçepoğlu, Gebze Technical University

*Başlık/Title:*   Matlis Duals of Local Cohomology Modules

*Özet/Abstract:*  In this talk, we consider the Lyubeznik-Yıldırım
conjecture which states that the support of the Matlis dual of any non zero
local cohomology module $H^i_I(R)$ over a regular local ring $R$ is the
spectrum of $R$. After giving the motivation, we discuss some recent
results on this conjecture. Moreover, we will mention about some related
open problems.

References
[1] M. P. Brodmann, R. Y. Sharp, Local Cohomology:An algebraic introduction
with
geometric applications., 2nd ed., Cambridge Studies in Advanced Mathematics,
Vol. 136, Cambridge University Press, Cambridge, 2013.

[2] R. Datta, N. Switala, W. Zhang, Annihilators of D-modules in mixed
character-
istic, Math. Res. Lett.30 (2023), 721–732.

[3] G. Lyubeznik, T. Yıldırım, On the Matlis duals of local cohomology
modules, Proc.
Am. Math. Soc. 146 (9)(2018), 3715-3720.

[4] W. Zhang, $F^e$-modules with applications to D-modules, Journal of
Algebra 617
(2023), 340-351. Z-algebra have finitely many associated primes, Invent.
Math.
197(3) (2014) 509–519, 3251828.

Zoom Toplantısına Katıl
https://istanbul-edu-tr.zoom.us/j/99570877793

Toplantı Kimliği: 995 7087 7793

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